Function Graph Selection: Y = X - 8 Relationship Analysis

Question

Since Y is a function of X that matches any value of X a number less than it for 8

Circle the appropriate graph to describe the function

Video Solution

Solution Steps

00:00 Draw the function graph
00:05 Function equation according to the given data
00:10 Substitute values in X and find the corresponding Y values according to the given data
00:15 Plot each point in our coordinate system
00:20 To draw a graph we need at least 3 points
01:00 Draw the appropriate graph
01:05 And this is the solution to the question

Step-by-Step Solution

We need to determine which graph represents the function Y=f(X) Y = f(X) where Y Y is strictly less than 8 for all X X . A key indication is that the function should be a horizontal line or region that does not reach or exceed the line Y=8 Y = 8 .

Reviewing the provided options, look for a graph that closely aligns with being constantly below the line Y=8 Y = 8 . Given the descriptions, a horizontal line at Y=7 Y = 7 or Y=6 Y = 6 would work since it satisfies the inequality Y<8 Y < 8 regardless of the X X values.

Option 4 clear depicts a line where all Y Y -values are indeed less than 8. The graph shows a continuous horizontal segment that stays consistently below 8.

Thus, the graph that correctly describes this function is the one in Choice 4.

Answer

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Ways to Represent a Function Representing a Function Verbally and with Tables Graphical Representation of a Function Algebraic Representation of a Function Notation of a Function

Question Types

Representations of Functions: Sketch the Graph from a Verbal Description